Geodesic
Remarks on the region of attraction of an isolated invariant set
Konstantin Athanassopoulos1
1 Department of Mathematics University of Crete GR-71409 Iraklion, Greece
Colloquium Mathematicum, Tome 104 (2006) no. 2, pp. 157-167

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We study the complexity of the flow in the region of attraction of an isolated invariant set. More precisely, we define the instablity depth, which is an ordinal and measures how far an isolated invariant set is from being asymptotically stable within its region of attraction. We provide upper and lower bounds of the instability depth in certain cases.
DOI : 10.4064/cm104-2-1
Keywords: study complexity flow region attraction isolated invariant set precisely define instablity depth which ordinal measures far isolated invariant set being asymptotically stable within its region attraction provide upper lower bounds instability depth certain cases

Konstantin Athanassopoulos 1

1 Department of Mathematics University of Crete GR-71409 Iraklion, Greece 
@article{10_4064_cm104_2_1,
     author = {Konstantin Athanassopoulos},
     title = {Remarks on the region of attraction of an
 isolated invariant set},
     journal = {Colloquium Mathematicum},
     pages = {157--167},
     publisher = {mathdoc},
     volume = {104},
     number = {2},
     year = {2006},
     doi = {10.4064/cm104-2-1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/cm104-2-1/}
}
TY  - JOUR
AU  - Konstantin Athanassopoulos
TI  - Remarks on the region of attraction of an
 isolated invariant set
JO  - Colloquium Mathematicum
PY  - 2006
SP  - 157
EP  - 167
VL  - 104
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/cm104-2-1/
DO  - 10.4064/cm104-2-1
LA  - en
ID  - 10_4064_cm104_2_1
ER  - 
%0 Journal Article
%A Konstantin Athanassopoulos
%T Remarks on the region of attraction of an
 isolated invariant set
%J Colloquium Mathematicum
%D 2006
%P 157-167
%V 104
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/cm104-2-1/
%R 10.4064/cm104-2-1
%G en
%F 10_4064_cm104_2_1
Konstantin Athanassopoulos. Remarks on the region of attraction of an
 isolated invariant set. Colloquium Mathematicum, Tome 104 (2006) no. 2, pp. 157-167. doi: 10.4064/cm104-2-1

Cité par Sources :